Simultaneous Equations

Start with S

100

Two or more equations that share variables.

Simultaneouos Equations

200

To find a value (or values) we can put in place of a variable that makes the equation true.

Solve

300

When one shape can become another after a resize, flip, slide or turn.

Similar

400

A graph of plotted points that show the relationship between two sets of data.

Scatter graph / plots

500

A "pie-slice" part of a circle - the area between two radiuses and the connecting arc of a circle

Sector

Solve by elimination

100

r + s = -6
r - s = -10

r=-8, 

s=2

200

8a + 5b = 9
2a - 5b = -4

a=0.5, 

b=1

300

2x + 3y = 6
3x + 5y = 15

x=-15,

y=12

400

2a - 4b = 12
-8a + 16b = -48

infinitely many solutions

500

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

x=24, 

y=8

Forming equations

100

Two numbers have a sum of 20 and a difference of 8

x+y=20

x-y=8

200

100 tickets were sold for the school talent show. x £2 tickets and y £5 tickets were sold. £260 was collected in ticket sales.

x+y=100

2x+5y=260

300

Jason and Alex have £5 between them. Jason has 90p more than Alex.

J+A=5

J-A=0.9

400

There are 12 goals in a football match between Y10 and Y11. Y10 score 4 more than Y11.

T+E=12

T-E=4

500

There are two brothers: Adam and Ben. If I square Adams’s age, then I get Ben’s age. In three years, Adam will be half Ben’s age.

A²=B

A+3=B/2

Solve by substitution

100

x = 4y
2x + 3y = 22

x=8, 

y=2

200

y = x - 2
3x - y = 16

x=y,

y=5

300

y = 3x - 1
7x + 2y = 37

x=3, 

y=8

400

3s - 2t = 4
t = 2s - 1

x=-2, 

y=-5

500

t + u = 12
t = (1/3)u

x=3, 

y=9

Start with E

100

To make larger.

Enlarge

200

__________ is when we multiply to remove the ( )

Expand

300

A triangle with all three sides of equal length.

Equilateral triangle

400

The same distance (from each other, or in relation to other things).

Equidistant

500

The ____________ of a number says how many times to use that number in a multiplication

exponent